Gravitational induction with Weber’s force

Abstract

According to Faraday’s law of induction, when we change the current intensity in a primary electric circuit we can induce a current in a secondary circuit under appropriate conditions. An electric current means charges in motion. Microscopically we can express Faraday’s law by saying that when we accelerate charges in the primary circuit, a force is exerted on charges of the secondary circuit, which can accelerate them. A similar effect also exists in gravity with accelerated masses, but of course with much less intensity. The phenomenon is called frame dragging and can be derived from general relativity theory. Here we present an alternative way to calculate such gravitational induction forces based on Weber’s law that only involves simple mathematics and incorporates other fundamental concepts, such as Newton’s third law, and Mach’s principle as the origin of inertia. It therefore summarizes all low-velocity gravitationally relevant effects into a single equation.